Assessment of the performances of first- and second-order time-domain ABC's for the truncation of finite element grids

2003 ◽  
Vol 38 (1) ◽  
pp. 11-16 ◽  
Author(s):  
Salvatore Caorsi ◽  
Gaia Cevini
Keyword(s):  
Finite Element ◽  
Time Domain ◽  
Second Order

Finite element analysis of second order wave radiation by a group of cylinders in the time domain

2013 ◽  
Vol 25 (3) ◽  
pp. 348-361 ◽  
Author(s):  
Chi-zhong Wang ◽  
Santanu Mitra ◽  
Hao-cai Huang ◽  
Boo-cheong Khoo
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Time Domain ◽  
Second Order ◽  
Wave Radiation ◽  
Element Analysis ◽  
The Time Domain

First and Second Order Elastoplastic Analyses of Thin-Walled Metal Members using Generalized Beam Theory

2018 ◽  
Author(s):  
Miguel Abambres
Keyword(s):  
Finite Element ◽  
Stainless Steel ◽  
Cross Section ◽  
Beam Theory ◽  
Second Order ◽  
Flow Rule ◽  
Non Linear ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Generalized Beam Theory

Original Generalized Beam Theory (GBT) formulations for elastoplastic first and second order (postbuckling) analyses of thin-walled members are proposed, based on the J2 theory with associated flow rule, and valid for (i) arbitrary residual stress and geometric imperfection distributions, (ii) non-linear isotropic materials (e.g., carbon/stainless steel), and (iii) arbitrary deformation patterns (e.g., global, local, distortional, shear). The cross-section analysis is based on the formulation by Silva (2013), but adopts five types of nodal degrees of freedom (d.o.f.) – one of them (warping rotation) is an innovation of present work and allows the use of cubic polynomials (instead of linear functions) to approximate the warping profiles in each sub-plate. The formulations are validated by presenting various illustrative examples involving beams and columns characterized by several cross-section types (open, closed, (un) branched), materials (bi-linear or non-linear – e.g., stainless steel) and boundary conditions. The GBT results (equilibrium paths, stress/displacement distributions and collapse mechanisms) are validated by comparison with those obtained from shell finite element analyses. It is observed that the results are globally very similar with only 9% and 21% (1st and 2nd order) of the d.o.f. numbers required by the shell finite element models. Moreover, the GBT unique modal nature is highlighted by means of modal participation diagrams and amplitude functions, as well as analyses based on different deformation mode sets, providing an in-depth insight on the member behavioural mechanics in both elastic and inelastic regimes.

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